1002112104 has 64 divisors (see below), whose sum is σ = 2882211840. Its totient is φ = 284414400.

The previous prime is 1002112103. The next prime is 1002112121. The reversal of 1002112104 is 4012112001.

It is a happy number.

1002112104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1002112104.

It is not an unprimeable number, because it can be changed into a prime (1002112103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5617 + ... + 45119.

It is an arithmetic number, because the mean of its divisors is an integer number (45034560).

Almost surely, 2^1002112104 is an apocalyptic number.

1002112104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441105920).

1002112104 is an abundant number, since it is smaller than the sum of its proper divisors (1880099736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002112104 is a wasteful number, since it uses less digits than its factorization.

1002112104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39670 (or 39666 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002112104 is about 31656.1542831722. The cubic root of 1002112104 is about 1000.7035395826.

Adding to 1002112104 its reverse (4012112001), we get a palindrome (5014224105).

The spelling of 1002112104 in words is "one billion, two million, one hundred twelve thousand, one hundred four".